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 one year ago
Can someone please help me with some integral homework before I shoot the crap out of my calculus book pretty please?! Equation in the forum
 one year ago
Can someone please help me with some integral homework before I shoot the crap out of my calculus book pretty please?! Equation in the forum

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bettyboop8904
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}\ln (\sqrt[3]{x})\] That is x to the 3 root

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0it might help to think of the cube root of x as x^(1/3)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0then use the power rule

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0ok do u want me to solve it or should i tell u how to do it

bettyboop8904
 one year ago
Best ResponseYou've already chosen the best response.0ok I got as far to as thinking of x^(1/3) lol

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0now use the rule that integral of x^n = (1/(n+1))*x^(n+1)

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0if u solve it i give u medal and if i do so you give me one

bettyboop8904
 one year ago
Best ResponseYou've already chosen the best response.0so do u mean put 1/3 in front of the ln of stuff and then put it in front of the entire integral? bc that's what I did and it said it was wrong = (

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0there's no ln involved here

bettyboop8904
 one year ago
Best ResponseYou've already chosen the best response.0ok maybe you should write the whole thing out cuz now you're just confusing me, please, thank you

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0does this rule look familiar dw:1360297226043:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0sry the +C is nearly cut off

bettyboop8904
 one year ago
Best ResponseYou've already chosen the best response.0no yeah i already know that lol we're in the chapter of integration by parts and there is a ln involved it's in the front of the x^(1/3)

satellite73
 one year ago
Best ResponseYou've already chosen the best response.2not to interrupt, but i think the starting point here is \[\frac{1}{3}\int \ln(x)dx\] which you do either by parts or by memory

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0oh my bad, i didn't see the ln at the very beginning just thought it was cube root of x

satellite73
 one year ago
Best ResponseYou've already chosen the best response.2since \(\ln(x)\) is a very common function, it might be benificial just to memorize \[\int \ln(x)dx=x\ln(x)x\] you can check by differentiation

bettyboop8904
 one year ago
Best ResponseYou've already chosen the best response.0yes that's what i did. oh damn nvm hahaha i think i get it I keep getting it confused that the derivative of ln is 1/x and we don't know the integral of ln yet so we have to do integration by parts lol

satellite73
 one year ago
Best ResponseYou've already chosen the best response.2your answer is therefore \[\frac{1}{3}\left(x\ln(x)x \right)\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0you can use taylor series to integrate this easily

bettyboop8904
 one year ago
Best ResponseYou've already chosen the best response.0you guys were a great help! ty! = )

satellite73
 one year ago
Best ResponseYou've already chosen the best response.2i would memorize it just like remembering that \[\frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}\]so while your fellow classmates are integrating by parts, you just write down the answer

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0i won't recommend that method

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0what about\[\int\limits \ln e^{^{x ^{2}}}dx\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits \ln(x^x)dx\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits \ln(x^2+2x+1)dx\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0so these are 3 examples that can't be used by just memorizing the specific case

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0so basically use integration by parts like ur class mates
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